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Apr 28, 2011 at 23:11 comment added Luis H Gallardo New solution: $m=464,$ $n=21$, $r=2mn+1=19489$. Here also $r$ is prime.
Apr 28, 2011 at 12:45 comment added Aaron Meyerowitz True, I only was looking at p,q prime. As I recall only primes of the form 4j+1 showed up. I don't gave it infront of me at the moment though.
Apr 28, 2011 at 11:12 comment added Luis H Gallardo In your last two lines: You need of course $q$ prime.
Apr 28, 2011 at 3:07 history answered Aaron Meyerowitz CC BY-SA 3.0